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Suppose that X = (X₁, ..., X_n) is a simple random sample (without replacement) from a finite population P = {y₁, ..., y_N} with univariate y_i.

(a) Show that a necessary condition for h(θ) to be estimable is that h is symmetric in its N arguments.

(b) Find the UMVUE of Y_m, where m is a fixed positive integer < n="" and="" y="" is="" the="" population="" total.="">

(d) Find the UMVUE of Cov(X_i, X_j), i ≠ j.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92680340

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